Publication Date
2003
Abstract
We introduce and begin the topological study of real rational plane curves, all of whose inflection points are real. The existence of such curves is a corollary of results in the real Schubert calculus, and their study has consequences for the important Shapiro and Shapiro conjecture in the real Schubert calculus. We establish restrictions on the number of real nodes of such curves and construct curves realizing the extreme numbers of real nodes. These constructions imply the existence of real solutions to some problems in the Schubert calculus. We conclude with a discussion of maximally inflected curves of low degree.
Recommended Citation
Kharlamov, Viatcheslav and Sottile, Frank, "Maximally Inflected Real Rational Curves" (2003). Mathematics and Statistics Department Faculty Publication Series. 6.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/6
Comments
This paper was harvested from ArXiv.org and ArXiv identifier is arXiv:0206268v2